Increasing the number of pulleys

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    Increasing Pulleys
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SUMMARY

This discussion focuses on the relationship between the number of pulleys in a pulley system and its mechanical advantage and efficiency. Increasing the number of pulleys enhances the Ideal Mechanical Advantage (IMA) but reduces efficiency due to increased friction. The force exerted decreases as mechanical advantage increases, assuming the frictional resistance remains constant. Additionally, while increasing the load adds friction, it does not affect the IMA, which disregards frictional forces.

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  • Understanding of Ideal Mechanical Advantage (IMA) and Mechanical Advantage (MA)
  • Familiarity with the concepts of efficiency in mechanical systems
  • Knowledge of friction's impact on mechanical systems
  • Basic grasp of pulley systems and their configurations
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  • Study the effects of friction on mechanical efficiency in pulley systems
  • Explore real-world applications of pulley systems in engineering
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Homework Statement


I'm trying to do a lab and none of my data is making sense. It's making it very difficult for me to draw conclusions and make sense of the post-lab questions with the data I have.

Here are the questions I am struggling with:
1. What happens to the force exerted as mechanical advantage gets larger?
2. How does increasing the number of pulleys affect the ideal mechanical advantage and efficiency of a pulley system?
3. How does increasing the load affect the ideal mechanical advantage and efficiency of a pulley system?

Homework Equations



IMA = de/dr

MA = Fr/Fe

Efficiency = (MA/IMA) x 100

The Attempt at a Solution


This is what I am assuming but I don't really know.

1. I think the force gets smaller because the fr stays the same so to get a bigger MA you divide by a smaller number, plus the pulley makes it easier so you use less force. Would this be correct?

2.I assumed that increasing the number of pulleys will increase the IMA. But due to friction it will decrease the efficiency. The more pulleys that are turning, the more friction there is, and the less efficient the system will be. Would this be correct?

3. Increasing the load will add to the friction, thus reducing the efficiency of the system. The ideal mechanical advantage won't change since the IMA neglects friction. Does this make sense?Thanks for your help everyone!
 
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BethRobinson said:
1. What happens to the force exerted as mechanical advantage gets larger?
1. I think the force gets smaller because the fr stays the same so to get a bigger MA you divide by a smaller number, plus the pulley makes it easier so you use less force. Would this be correct?
I don't like that the question refers to the force exerted. The force exerted is whatever it happens to be; that may be insufficient to move the load or far more than sufficient. Assuming it means the force needed, I agree with your answer.
2. How does increasing the number of pulleys affect the ideal mechanical advantage and efficiency of a pulley system?

2.I assumed that increasing the number of pulleys will increase the IMA. But due to friction it will decrease the efficiency. The more pulleys that are turning, the more friction there is, and the less efficient the system will be. Would this be correct?
The question doesn't mean anything without the context of an actual arrangement of pulleys. A pulley could be added in a way that reduces MA. Other than that, I agree with your answer.
3. How does increasing the load affect the ideal mechanical advantage and efficiency of a pulley system?
3. Increasing the load will add to the friction, thus reducing the efficiency of the system. The ideal mechanical advantage won't change since the IMA neglects friction.
Increasing the load will add to the friction, yes, but efficiency is about ratios. What will the affect be on the ratio of work done by the applied force to work done on the load?
 
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